On the use of Hermite functions for the Vlasov-Poisson system

DOI10.1007/978-3-030-39647-3_10zbMath1484.65247OpenAlexW3048522452MaRDI QIDQ2054309

Lorella Fatone, Daniele Funaro, Gianmarco Manzini

Publication date: 2 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-39647-3_10

zbMATH Keywords

Hermite functionsVlasov-Poisson systemsemi-Lagrangian spectral method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83)

Related Items (2)

A decision-making machine learning approach in Hermite spectral approximations of partial differential equations ⋮ Stability and conservation properties of Hermite-based approximations of the Vlasov-Poisson system

Cites Work

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